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Sonja [21]
4 years ago
8

BRAINLIEST ASAP! PLEASE HELP ME :)

Mathematics
1 answer:
anzhelika [568]4 years ago
8 0

Answer:

22.3 km²

Step-by-step explanation:

The formula for the area of a circle is

A = πr²

r = ½d, so

A = π(½d)² =  ¼πd²

A = ¼ × π × (16/3)² = ¼ × π × 256/9  ≈ 22.3 km²

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Find the measurement of the segment.
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PS = PR+RS
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4 0
3 years ago
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Evaluate: x(y - xy), where x = -5 and y= -2
yulyashka [42]

Answer:

60

Step-by-step explanation:

You would just plug everything in so you get -5(-2-(-5)(-2)) which can be reduced so -5(-12) which is 60

5 0
3 years ago
For what value of k, the zeroes of x2 + kx + 12 will differ by 1?
asambeis [7]

Let <em>a</em> and <em>b</em> be the zeroes of <em>x</em>² + <em>kx</em> + 12 such that |<em>a</em> - <em>b</em>| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

<em>x</em>² + <em>kx</em> + 12 = (<em>x</em> - <em>a</em>) (<em>x</em> - <em>b</em>)

Expand the right side and equate the coefficients:

<em>x</em>² + <em>kx</em> + 12 = <em>x</em>² - (<em>a</em> + <em>b</em>) <em>x</em> + <em>ab</em>

Then

<em>a</em> + <em>b</em> = -<em>k</em>

<em>ab</em> = 12

The condition that |<em>a</em> - <em>b</em>| = 1 has two cases, so without loss of generality assume <em>a</em> > <em>b</em>, so that |<em>a</em> - <em>b</em>| = <em>a</em> - <em>b</em>.

Then if <em>a</em> - <em>b</em> = 1, we get <em>b</em> = <em>a</em> - 1. Substitute this into the equations above and solve for <em>k</em> :

<em>a</em> + (<em>a</em> - 1) = -<em>k</em>   →   2<em>a</em> = 1 - <em>k</em>   →   <em>a</em> = (1 - <em>k</em>)/2

<em>a</em> (<em>a</em> - 1) = 12   →   (1 - <em>k</em>)/2 • ((1 - <em>k</em>)/2 - 1) = 12

→   (1 - <em>k</em>)²/4 - (1 - <em>k</em>)/2 = 12

→   (1 - <em>k</em>)² - 2 (1 - <em>k</em>) = 48

→   (1 - 2<em>k</em> + <em>k</em>²) - 2 (1 - <em>k</em>) = 48

→   <em>k</em>² - 1 = 48

→   <em>k</em>² = 49

→   <em>k</em> = ± √(49) = ±7

8 0
3 years ago
Tickets to a movie cost $7 for adults and $5 for students . A group of friends purchased 8 tickets for $52, write a system of eq
mr_godi [17]
7 x 6 = $52
there will be no kids attending haha.
7 0
3 years ago
a sailmaker is designing a mainsail for a newly constructed sailboat. the mainsail foot is 13 feet long, the luff is 10 feet lon
Vikentia [17]
  • (A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
  • (B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.

<h3>What exactly is sines law?</h3>
  • The law of sines refers to the ratio of a triangle's side length to the sine of the opposite angle, which is the same for all sides.
  • SinA/a = SinB/b = SinC/c
  • Where A, B, and C represent the triangle's angle and a,b, and c represent the opposite sides of the triangle's angle.

So, Part A:

By employing the sines law,

  • SinA/10 = SinB/13
  • SinA/10 = Sin50/13
  • A = 36.10
  • C = 180-(180-36.10)
  • C = 93.90

So,

  • Sin36.10 / a = Sin50/ b = Sin93.90/c
  • Sin36.10 / 10 = Sin50/ 13 = Sin93.90/c
  • c = Sin93.90 × 13 ÷ Sin50
  • c = 16.93 ft

Now, Part B:

Area of the mainsail:

  • = 1/2 × abSinC
  • = 1/2 × 10 × 13 × Sin93.90
  • =  64.85

Therefore, the answers to both parts are:

  • (A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
  • (B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.

Know more about sines law here:

brainly.com/question/27174058

#SPJ4

The complete question is given below:

A sailmaker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff makes a 50° angle at the head with the leach.

Part A: Determine the length of the leach.

Part B: Find the area of the mainsail.

PLS HELP :) 50 POINTS!!!

6 0
2 years ago
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